Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
8x - y = 31
5x + 3y = 23

Question

Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
 8x - y = 31
 5x + 3y = 23

anonymous · Answer

need help

anonymous · Answer

actually i think the solution is (4,1)

anonymous · Answer

and the check is easy enough:
$$8\times 4-1=32-1=31$$
$$5\times 4 + 3\times 1=20+3=23$$

anonymous · Answer

multiply the first equation by 3 to get 
$$24x-3y=93$$ second one is 
$$5x+3y=23$$ add the equations together to get 
$$29x=113$$
$$x=\frac{113}{29}=4$$

anonymous · Answer

I misstate 116/29 =4 not 29
8x - y = 31
             8x-31=y
 5x + 3( 8x-31)= 23
 5x+24x - 93 = 23
               29x = 23 +93
                   x = 116/29
                    x=4

anonymous · Answer

substitute 4 for x in either equation to find y. for example 
$$8\times 4-y=31$$
$$32-y=31$$
$$-y=-1$$
$$y=1$$

anonymous · Answer

5(4) + 3y = 23
   20 + 3y =23
            3y =23 -20
               y= 3/3
              y =1
i write equation correct , but I caculator wrong